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Finding the Fourth Proportional to 223,384.68, 334,947.42 and 90,155.88

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Solution

The fourth proportional to 223,384.68, 334,947.42 and 90,155.88 is: 135,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,384.68 : 334,947.42 = 90,155.88 : x
  2. Step 2: Convert to fraction form
    223,384.68/334,947.42 = 90,155.88/x
  3. Step 3: Cross multiply
    223,384.68x = 334,947.42 × 90,155.88
  4. Step 4: Simplify right side
    223,384.68x = 30,197,479,403.83
  5. Step 5: Solve for x
    x = 30,197,479,403.83/223,384.68
  6. Step 6: Final answer
    x = 135,181.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.